249152 has 28 divisors (see below), whose sum is σ = 525780. Its totient is φ = 116736.

The previous prime is 249143. The next prime is 249181. The reversal of 249152 is 251942.

It can be written as a sum of positive squares in 2 ways, for example, as 215296 + 33856 = 464^2 + 184^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 974 + ... + 1202.

2²⁴⁹¹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262890).

249152 is an abundant number, since it is smaller than the sum of its proper divisors (276628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

249152 is a wasteful number, since it uses less digits than its factorization.

249152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 248 counting only the distinct ones).

The product of its digits is 720, while the sum is 23.

The square root of 249152 is about 499.1512796738. The cubic root of 249152 is about 62.9247442713.

The spelling of 249152 in words is "two hundred forty-nine thousand, one hundred fifty-two".